Given below are the analysis of variance results from a Minitab display. Assume that you want to use a 0.05 significance level in testing the null hypothesis that the different samples come from populations with the same mean.
-$$\begin{array} { l r c c c c }
\text { Source } & \text { DF } & \text { SS } & \text { MS } & \text { F } & \text { p } \
\text { Factor } & 3 & 13.500 & 4.500 & 5.17 & 0.011 \
\text { Error } & 16 & 13.925 & 0.870 & & \
\text { Total } & 19 & 27.425 & & &
\end{array}$$ Find the critical value.
A)3.24
B)8.70
C)5.42
D)3.06

Question

Given below are the analysis of variance results from a Minitab display. Assume that you want to use a 0.05 significance level in testing the null hypothesis that the different samples come from populations with the same mean.
-$$\begin{array} { l r c c c c } 
\text { Source } & \text { DF } & \text { SS } & \text { MS } & \text { F } & \text { p } \
\text { Factor } & 3 & 13.500 & 4.500 & 5.17 & 0.011 \
\text { Error } & 16 & 13.925 & 0.870 & & \
\text { Total } & 19 & 27.425 & & &
\end{array}$$ Find the critical value.
A)3.24
B)8.70
C)5.42
D)3.06

Quizplus · Accepted Answer

The critical value for an F-test is found in F-distribution tables using the degrees of freedom for the numerator (DF for Factor) and the denominator (DF for Error) and the significance level. Here, with DF for Factor = 3, DF for Error = 16, and a significance level of 0.05, the critical value from standard F-distribution tables is approximately 3.24.

Given Below Are the Analysis of Variance Results from a Minitab